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Sunny_sXe [5.5K]

3 years ago

13

Which equation supports the given conjecture? The difference of two odd numbers is an even number. A. 23 – 19 = 4 B. 16 – 10 = 6

C. 17 – 12 = 5 D. 3 + 5 = 8

1 answer:

MissTica3 years ago

7 0

Answer: <span>A. 23 – 19 = 4

23 and 19 are odd
4 is even
23-19: </span><span>difference of two odd numbers</span>

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Consider the points (−4, 0) and (5, 0).

Lostsunrise [7]

Answer:

answered

Step-by-step explanation:

A) there y- coordinates are same . This means that the points lie on the x- axis only.

b) since the y- coordinate is zero of both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units.

c) since the y- coordinate is zero of both the points. The distance between them must be same as the distance between their x- coordinates. Which can be easily obtained with help of the number line. Here the distance will be equal to 9 units

6 0

3 years ago

Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $35 and same-day tickets $30 c

Marina CMI [18]

Answer:

The number of same-day tickets sold is 15

The number of advance ticket sold is 20

Step-by-step explanation:

Given as :

The cost of each Advance ticket = $35

The cost of each same-day ticket = $30

The total cost of the tickets sold = $1150

The total number of tickets sold = 35

Let The number of advance ticket sold = a

And The number of same-day ticket sold = s

Now, According to question

The total number of tickets sold =The number of advance ticket sold + The number of same-day ticket sold

I.e a + s = 35 .....A

The total number of tickets sold = The cost of each Advance ticket × The number of advance ticket sold + The cost of each same-day ticket × The number of same-day ticket sold

I.e $35 a + $30 s = $1150

or, 35 a + 30 s = 1150 .......B

Now, solving eq A and B

35 × ( a + s) - ( 35 a + 30 s ) = 35 × 35 - 1150

or, ( 35 a - 35 a ) + ( 35 s - 30 s ) = 1225 - 1150

or, 0 + 5 s = 75

∴ s = $\frac{75}{5}$

I.e s = 15

So, The number of same-day tickets sold = s = 15

Put the value of s in Eq A

So, a + 15 = 35

∴ a = 35 - 15

I.e a = 20

So, The number of advance ticket sold = a = 20

Hence The number of same-day tickets sold is 15

And The number of advance ticket sold is 20 Answer

7 0

3 years ago

Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)

tia_tia [17]

<h3><u>Explanation</u></h3>

First Method

We have the given slope value and the coordinate point that the graph passes through.

$y = mx + b$

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

$y = - \frac{3}{4} x + b$

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

$3 = - \frac{3}{4} (4) + b \\$

<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>b-term</u>

$3 = - 3 + b \\ 3 + 3 = b \\ 6 = b$

The value of b is 6. We substitute the value of b in the equation.

$y = - \frac{3}{4} x + 6$

Second Method

We can also use the Point-Slope form to solve the question.

$y - y_1 = m(x - x_1)$

Given the y1 and x1 = the coordinate point value.

Substitute the slope and coordinate point value in the point slope form.

$y - 3 = - \frac{3}{4} (x - 4)$

<u>Simplify</u><u>/</u><u>Convert</u><u> </u><u>into</u><u> </u><u>Slope-intercept</u>

$y = - \frac{3}{4} (x - 4) + 3 \\ y = - \frac{3}{4} x + \frac{12}{4} + 3 \\ y = - \frac{3}{4} x + 3 + 3 \\y = - \frac{3}{4} x + 6$

<h3><u>Answer</u></h3>

<u> $\large \boxed {y = - \frac{3}{4} x + 6}$ </u>

6 0

3 years ago

If the radius of the circle is multiplied by a factor of 3, then the area of the circle is multiplied by a factor of

Oksi-84 [34.3K]

$\bf \textit{area of a circle}\\\\
A=\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
r=\stackrel{r\times 3}{3r}
\end{cases}\implies A=\pi (3r)^2
\\\\\\
A=\pi (3^2r^2)\implies A=9(\pi r^2)$

notice, if the original area was πr², then the new area has a factor in front of it, that much.

8 0

3 years ago

Simplify 7 to the 6th power times 7 to the 5th power

guapka [62]

The answer would be 7 to the 11th power

when multiplying exponents, just add the exponents together

6 + 5 = 11 :)

3 0

3 years ago